HCRP project 2008

Movie of a geodesic pray in the plane

Geodesic flow in the plane

Office: SciCtr 434

Email: knill@math.harvard.edu

The movie shows thee geodesic spray from the origin in the surface c ( cos(x) + sin(y-0.1) ). The amplitude c changes in time in this movie from 0 to 2. For c=0, the geodesics are lines. For larger c, caustics appear, places, where the exponential map is not invertible. |

Animation done in Mathematica using numerical computation of the geodesic lines.

Questions and comments to knill@math.harvard.edu